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Let \(a, b, c, d, e, f\) be nonnegative real numbers.

 

(a) Prove that

 

\((a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) \ge (ace + bdf)^4.\)

 

(b) Prove that

 

\((a^2 + b^2)(c^2 + d^2)(e^2 + f^2) \ge (ace + bdf)^2.\)

 Aug 3, 2021
 #1
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This is easy if you use Cauchy-Schwarz.

 Aug 3, 2021
 #2
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So why don't you show us how easy it is and aprove one of them.

Melody  Aug 8, 2021
 #3
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Attn: Guest aske

 

What have you done towards answering?

Have you done any of the expansions?

 Aug 8, 2021

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